On BD-algebra and CM-Auslander algebra for a gentle algebra and their representation types

Published 30 Apr 2025 in math.RT and math.RA | (2505.00072v1)

Abstract: Let $A$ be a gentle algebra, and $B$ and $C$ be its BD-gentle algebra and CM-Auslander algebra, respectively. In this paper, we show that the representation-finiteness of $A$, $B$ and $C$ coincide and the representation-discreteness of $A$, $B$ and $C$ coincide.

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